find g(x) for g(x)=x^{-9/4}. g(x)=□

$find g(x) for g(x)=x^{-9/4}. g(x)=□$

find g(x) for g(x)=x^{-9/4}.
g(x)=□

The power - rule states that if $y = x^n$, then $y^\prime=nx^{n - 1}$. Here $n=-\frac{9}{4}$.

$g^\prime(x)=-\frac{9}{4}x^{-\frac{9}{4}-1}=-\frac{9}{4}x^{-\frac{9 + 4}{4}}=-\frac{9}{4}x^{-\frac{13}{4}}$

$-\frac{9}{4}x^{-\frac{13}{4}}$